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MathSimilar Figures

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Vocabulary

Similar Figures—Figures that have the same shape, but not the same size.

The symbol ~ means is similar to.

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Similar Figures have two properties.

The corresponding angles have equal measure.

The lengths of corresponding sides are in proportion.

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Vocabulary

Indirect Measurement

A method of determining length or distance without measuring

directly.

Find the length of the side marked with the variable x.

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Find the length of the side marked with the variable x.

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Find the length of the side marked with the variable x and y.

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Find the length of the side marked with the variable x and y.

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Find the length of the side marked with the variable x.

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Find the length of the side marked with the variable x.

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Jen-Min wants to enlarge a 4-in. by 6-in. photo so that the longer side will be 14 in. How long will the shorter side be?

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A tree casts a shadow 30 ft. long. If a man 6 ft. tall casts a shadow 5 ft. long at the same time of day, how tall is the tree?

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Solve each problem.

A tree casts a shadow 10 ft. long. A 5-ft woman casts a shadow 4ft long. How tall is the tree?

A building 70 ft high casts a 150-ft shadow. A nearby flagpole casts a 60-ft shadow. What is the height of the flagpole?

A tree casts a shadow 8 ft long. A 6-ft man casts a shadow 4 ft long. How tall is the tree?

Assignment

Homework E-12

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